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Simplifying 3 + 5(x + -6) = 4 + -9(x + -6) Reorder the terms: 3 + 5(-6 + x) = 4 + -9(x + -6) 3 + (-6 * 5 + x * 5) = 4 + -9(x + -6) 3 + (-30 + 5x) = 4 + -9(x + -6) Combine like terms: 3 + -30 = -27 -27 + 5x = 4 + -9(x + -6) Reorder the terms: -27 + 5x = 4 + -9(-6 + x) -27 + 5x = 4 + (-6 * -9 + x * -9) -27 + 5x = 4 + (54 + -9x) Combine like terms: 4 + 54 = 58 -27 + 5x = 58 + -9x Solving -27 + 5x = 58 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -27 + 5x + 9x = 58 + -9x + 9x Combine like terms: 5x + 9x = 14x -27 + 14x = 58 + -9x + 9x Combine like terms: -9x + 9x = 0 -27 + 14x = 58 + 0 -27 + 14x = 58 Add '27' to each side of the equation. -27 + 27 + 14x = 58 + 27 Combine like terms: -27 + 27 = 0 0 + 14x = 58 + 27 14x = 58 + 27 Combine like terms: 58 + 27 = 85 14x = 85 Divide each side by '14'. x = 6.071428571 Simplifying x = 6.071428571
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